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3 years ago

Options: y= -2x - 6 y= 2/3x + 6 y= -2/3x + 6 y=2x + 6

Mathematics

1 answer:

melisa1 [442]3 years ago

8 0

Answer:

y = - $\frac{2}{3}$ x + 6

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = $\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

with (x₁, y₁ ) = (0, 6) and (x₂, y₂ ) = (6, 2) ← 2 points on the line

m = $\frac{2-6}{6-0}$ = $\frac{-4}{6}$ = - $\frac{2}{3}$

The line crosses the y- axis at (0, 6) ⇒ c = 6

y = - $\frac{2}{3}$ x + 6 ← equation of line

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Hope this would help~

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Step-by-step explanation:

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Normal probability distribution

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In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

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The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

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The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

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